Skip to main content

A remark on credit risk models and copula

  • Chapter
  • First Online:
Advances in Mathematical Economics Volume 16

Part of the book series: Advances in Mathematical Economics ((MATHECON,volume 16))

Abstract

Copula models with finite parameters are widely used to describe the joint distribution of default times. But it is not clear whether these copula models are dynamically consistent. The authors show that the set of copula models that are dynamically consistent and satisfy some technical regularity conditions, is a set of the first category in the Baire sense in a certain space of copula functions with finite parameters.

JEL classification: G12

Mathematics Subject Classification (2010): 60G44, 91G40

Research supported by the 21st century COE project, Graduate School of Mathematical Sciences, The University of Tokyo.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bielecki, T. R., Jeanblanc, M., Rutkowski, M.: Modeling and valuation of credit risk. Stochastic methods in finance. In: Lecture Notes in Math., 1856, pp. 27–126, Springer, Berlin (2004)

    Google Scholar 

  2. Bielecki, T. R., Rutkowski, M.: Credit Risk: Modelling, Valuation and Hedging (Springer Finance). Springer-Verlag, Berlin (2002)

    MATH  Google Scholar 

  3. Björk, T., Christensen, B.: Interest rate dynamics and consistent forward rate curves. Mathematical Finance 9, 323–348 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  4. Chesney, M., Jeanblanc, M., Yor, M.: Mathematical Methods for Financial Markets (Springer Finance). Springer-Verlag London, Ltd., London (2009)

    Google Scholar 

  5. Kusuoka, S.: A remark on default risk models. In: Kusuoka, S., Maruyama, M. (eds.) Advances in Mathematical Economics vol. 1, pp. 69–82, Springer (1999)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shigeo Kusuoka .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Japan

About this chapter

Cite this chapter

Kusuoka, S., Nakashima, T. (2012). A remark on credit risk models and copula. In: Kusuoka, S., Maruyama, T. (eds) Advances in Mathematical Economics Volume 16. Advances in Mathematical Economics, vol 16. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54114-1_3

Download citation

Publish with us

Policies and ethics